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Finding the Third Proportional to 37,242 and 81,045

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Solution

The third proportional to 37,242 and 81,045 is: 176,367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,242 : 81,045 = 81,045 : x
  2. Step 2: Convert to fraction form
    37,242/81,045 = 81,045/x
  3. Step 3: Cross multiply
    37,242x = 81,045 × 81,045
  4. Step 4: Simplify right side
    37,242x = 6,568,292,025
  5. Step 5: Solve for x
    x = 6,568,292,025/37,242
  6. Step 6: Final answer
    x = 176,367.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.